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QuantumModulus Offline
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Simplify the expression. - July 22nd 2011, 04:11 PM

Go to this awesome error page:

http://www.kortaggio.com/error404.html


Have a solution? ^_^


Here's mine (confirmed by the domain's owner):

Spoiler:
403

He's also got a very interesting and fun blog; definitely check it out if you're into math, econ, or politics.


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Cheyenne is phresh ^.^

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Re: Simplify the expression. - July 23rd 2011, 06:28 AM

That's a math problem......hahaha wow there is no way I would ever be able to solve that.
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Re: Simplify the expression. - July 24th 2011, 02:02 PM

I don't know enough math to do that, haha.


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Re: Simplify the expression. - July 24th 2011, 02:13 PM

I may have nightmares over that. I don't even think I've seen those symbols before. It's scary.


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Re: Simplify the expression. - July 26th 2011, 02:41 PM

I'll be here all day if I try that. :|


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Re: Simplify the expression. - July 26th 2011, 02:59 PM

Lol, I made a typo in my spoiler with the answer, but I can't edit...it's actually 404. Haha..
There's actually just a lot of simple little tricks in this one.

The first term is just a geometric series ( 100/(1-1/3) = 150 ).

The second is the basic rational limit which comes out to 1

The third is a bit of involved integration, but instead of 1/(x+y)^-k, it simplifies to (x+y)^k to make life easier. Integrate w.r.t. x, leave things in terms of y and k, integrate w.r.t. y, and substitute k=2 to evaluate the limit. Simplifies to 268.

The fourth is a differential (which you'd only be able to work out the numerator of if you didn't know that ln(-1) = iπ, from Euler's identity). Apply some chain rule and trigonometry to get -16. The π in numerator and denominator cancel out.

Then there's the 1 at the very end to make it 404.


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